Penetrable sphere model - Revision history

Carl McBride: Added a little

2017-05-23T10:28:03Z

Added a little

← Older revision		Revision as of 12:28, 23 May 2017
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	</math>		</math>

	where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>\epsilon</math> is the hight of the repulsive core, <math>r</math> is the distance between site 1 and site 2 <math>r := \|\mathbf{r}_1 - \mathbf{r}_2\|</math> and <math>\sigma</math> is the radius of the core. Note: an earlier, different, penetrable sphere model was proposed, but is now known as the [[Widom-Rowlinson model]]. This model can be seen as the limiting case of the		where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>\epsilon</math> is the hight of the repulsive core, <math>r</math> is the distance between site 1 and site 2 <math>r := \|\mathbf{r}_1 - \mathbf{r}_2\|</math> and <math>\sigma</math> is the radius of the core. Note: an earlier, different, penetrable sphere model was proposed, but is now known as the [[Widom-Rowlinson model]]. This model can be seen as the limiting case of the [[Gaussian overlap model]] where <math>n \rightarrow \infty</math>. In the limit <math>\epsilon \rightarrow \infty</math> one has the [[hard sphere model]].
	[[Gaussian overlap model]] where <math>n \rightarrow \infty</math>.
	==References==		==References==
	<references/>		<references/>


	[[category: models]]		[[category: models]]

Nice and Tidy: Added mention of sigma

2009-10-05T10:03:39Z

Added mention of sigma

← Older revision		Revision as of 12:03, 5 October 2009
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	</math>		</math>

	where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>\epsilon</math> is the hight of the repulsive core <math>r</math> is the distance between site 1 and site 2 <math>r := \|\mathbf{r}_1 - \mathbf{r}_2\|</math>. Note: an earlier, different, penetrable sphere model was proposed, but is now known as the [[Widom-Rowlinson model]]. This model can be seen as the limiting case of the		where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>\epsilon</math> is the hight of the repulsive core, <math>r</math> is the distance between site 1 and site 2 <math>r := \|\mathbf{r}_1 - \mathbf{r}_2\|</math> and <math>\sigma</math> is the radius of the core. Note: an earlier, different, penetrable sphere model was proposed, but is now known as the [[Widom-Rowlinson model]]. This model can be seen as the limiting case of the
	[[Gaussian overlap model]] where <math>n \rightarrow \infty</math>.		[[Gaussian overlap model]] where <math>n \rightarrow \infty</math>.
	==References==		==References==
	<references/>		<references/>
	[[category: models]]		[[category: models]]

Carl McBride: Slight tidy of reference.

2009-10-01T13:44:34Z

Slight tidy of reference.

← Older revision		Revision as of 15:44, 1 October 2009
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	~~{{stub-general}}~~		The '''penetrable sphere model''' is given by <ref>[http://dx.doi.org/10.1051/jphys:0198900500100126700 C. Marquest and T. A. Witten "Simple cubic structure in copolymer mesophases", Journal de Physique France '''50''' pp. 1267-1277 (1989)]</ref>:
	The '''penetrable sphere model''' is given by <ref>[http://dx.doi.org/10.1051/jphys:0198900500100126700 C. Marquest et T.A. Witten "Simple cubic structure in copolymer mesophases", Journal de Physique France '''50''' pp. 1267-1277 (1989)]</ref>:

	:<math>		:<math>

Carl McBride at 13:39, 1 October 2009

2009-10-01T13:39:57Z

@@ Line 1: / Line 1: @@
 {{stub-general}}
-The '''penetrable sphere model'''<ref>[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson "New Model for the Study of Liquid–Vapor Phase Transitions", Journal of Chemical Physics '''52''' pp. 1670-1684 (1970)]</ref> was designed to study [[Gas-liquid phase transitions | vapour-liquid equilibrium]]
+The '''penetrable sphere model''' is given by <ref>[http://dx.doi.org/10.1051/jphys:0198900500100126700 C. Marquest et T.A. Witten "Simple cubic structure in copolymer mesophases", Journal de Physique France '''50''' pp. 1267-1277 (1989)]</ref>:
 ==References==
 <references/>
-'''Related reading'''
+[[category: models]]

Carl McBride: New page: {{stub-general}} The '''penetrable sphere model'''[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson "New Model for the Study of Liquid–Vapor Phase Transitions", Jour...

2009-10-01T13:05:00Z

New page: {{stub-general}} The '''penetrable sphere model'''<ref>[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson "New Model for the Study of Liquid–Vapor Phase Transitions", Jour...

New page

{{stub-general}}
The '''penetrable sphere model'''<ref>[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson "New Model for the Study of Liquid–Vapor Phase Transitions", Journal of Chemical Physics '''52''' pp. 1670-1684 (1970)]</ref> was designed to study [[Gas-liquid phase transitions | vapour-liquid equilibrium]]
==References==
<references/>
'''Related reading'''
*[http://dx.doi.org/10.1080/00268977200101921 T. W. Melnyk, J. S. Rowlinson and B. L. Sawford "The penetrable sphere and related models of liquid—vapour equilibrium" Molecular Physics '''24''' pp. 809-831 (1972)]
[[category : models]]